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5145137152 = 21210112437
BaseRepresentation
bin1001100101010110…
…01001000000000000
3111021120111001022021
410302223021000000
541014123342102
62210314051224
7241333641601
oct46253110000
914246431267
105145137152
112200328771
12bb7119b14
1363cc4726c
1436b481da8
15201a75137
hex132ac9000

5145137152 has 52 divisors (see below), whose sum is σ = 10391725116. Its totient is φ = 2546892800.

The previous prime is 5145137149. The next prime is 5145137161. The reversal of 5145137152 is 2517315415.

It can be written as a sum of positive squares in 2 ways, for example, as 2549846016 + 2595291136 = 50496^2 + 50944^2 .

It is a super-2 number, since 2×51451371522 = 52944872625781342208, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 407478 + ... + 419914.

Almost surely, 25145137152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5145137152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5195862558).

5145137152 is an abundant number, since it is smaller than the sum of its proper divisors (5246587964).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5145137152 is a wasteful number, since it uses less digits than its factorization.

5145137152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12562 (or 12540 counting only the distinct ones).

The product of its digits is 21000, while the sum is 34.

The square root of 5145137152 is about 71729.6114028230. The cubic root of 5145137152 is about 1726.3637918460.

The spelling of 5145137152 in words is "five billion, one hundred forty-five million, one hundred thirty-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 404 512 808 1024 1616 2048 3232 4096 6464 12437 12928 24874 25856 49748 51712 99496 103424 198992 206848 397984 413696 795968 1256137 1591936 2512274 3183872 5024548 6367744 10049096 12735488 20098192 25470976 40196384 50941952 80392768 160785536 321571072 643142144 1286284288 2572568576 5145137152